6 citations · 6 across the 2 of their papers we have counts for
5 papers
Complete minimal logarithmic energy asymptotics for points in a compact interval: a consequence of the discriminant of Jacobi polynomials
Johann S. Brauchart
The electrostatic interpretation of zeros of Jacobi polynomials, due to Stieltjes and Schur, enables us to obtain the complete asymptotic expansion as of the minimal…
Weighted -Norms of Gegenbauer polynomials
Johann S. Brauchart, Peter J. Grabner
We study integrals of the form \begin{equation*} \int_{-1}^1(C_n^{(λ)}(x))^2(1-x)^α(1+x)^β\, dx, \end{equation*} where denotes the Gegenbauer-polynomial of index …
Hyperuniform point sets on the sphere: probabilistic aspects
Johann S. Brauchart, Peter J. Grabner, Wöden B. Kusner +1
The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between amorphous disorder and crystal…
Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case
Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff +1
We consider the minimal discrete and continuous energy problems on the unit sphere in the Euclidean space in the presence of an external field due…
The support of the limit distribution of optimal Riesz energy points on sets of revolution in
J. S. Brauchart, D. P. Hardin, E. B. Saff
Let A be a compact set in the right-half plane and the set in obtained by rotating A about the vertical axis. We investigate the support of the limit distri…